2045050880 has 102 divisors (see below), whose sum is σ = 4970998746. Its totient is φ = 807665664.

The previous prime is 2045050879. The next prime is 2045050907. The reversal of 2045050880 is 880505402.

It can be written as a sum of positive squares in only one way, i.e., 1636040704 + 409010176 = 40448^2 + 20224^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25886681 + ... + 25886759.

Almost surely, 2^2045050880 is an apocalyptic number.

2045050880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485499373).

2045050880 is an abundant number, since it is smaller than the sum of its proper divisors (2925947866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2045050880 is an frugal number, since it uses more digits than its factorization.

2045050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 2045050880 is about 45222.2387769557. The cubic root of 2045050880 is about 1269.3109867465.

The spelling of 2045050880 in words is "two billion, forty-five million, fifty thousand, eight hundred eighty".